Optimal O(1) Bilateral Filter with Arbitrary Spatial and Range Kernels Using Sparse Approximation

Table 1

Comparison of the PSNR values.

𝜎𝑠	Barbara			Boat			Lena			Pirate
	Ours	[21]	[26]	Ours	[21]	[26]	Ours	[21]	[26]	Ours	[21]	[26]
0.90	41.90	40.34	41.62	43.15	41.89	42.92	41.45	40.89	41.43	42.68	41.70	42.60
1.20	43.28	39.21	43.10	44.70	40.10	44.37	42.58	41.06	42.53	44.15	40.83	44.04
1.50	44.27	41.68	43.50	45.70	43.26	43.92	43.35	42.61	42.85	45.17	43.52	44.36
1.80	45.05	41.98	37.89	46.44	40.95	37.08	43.90	42.01	37.61	45.90	41.98	38.48
2.40	46.14	43.89	24.81	47.35	44.05	24.11	44.75	43.37	24.55	46.91	44.27	25.35
3.00	46.84	44.79	18.25	47.85	44.29	17.60	45.51	44.10	17.97	47.69	44.94	18.78
3.60	47.51	45.28	14.56	48.41	44.39	13.93	46.09	44.57	14.27	48.36	45.25	15.09
4.50	48.07	45.00	11.52	48.85	44.43	10.90	46.75	44.53	11.23	48.93	44.93	12.05
6.00	48.88	44.74	9.16	49.33	44.40	8.53	47.58	44.52	8.86	49.66	44.56	9.69
7.50	49.34	44.25	8.06	49.62	44.11	7.42	48.19	44.47	7.75	50.21	44.25	8.59
9.00	49.67	44.89	7.46	49.92	44.27	6.83	48.61	45.22	7.16	50.51	45.23	7.99